112112011200112 has 320 divisors, whose sum is σ = 277231491191808. Its totient is φ = 42658652160000.

The previous prime is 112112011200109. The next prime is 112112011200149. The reversal of 112112011200112 is 211002110211211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4940802687 + ... + 4940825377.

Almost surely, 2^{112112011200112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112112011200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138615745595904).

112112011200112 is an abundant number, since it is smaller than the sum of its proper divisors (165119479991696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112112011200112 is a wasteful number, since it uses less digits than its factorization.

112112011200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23328 (or 23322 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 112112011200112 its reverse (211002110211211), we get a palindrome (323114121411323).

The spelling of 112112011200112 in words is "one hundred twelve trillion, one hundred twelve billion, eleven million, two hundred thousand, one hundred twelve".